Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 227154.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227154.u1 | 227154d1 | \([1, 0, 0, -248835, 47271489]\) | \(70593496254289/824180736\) | \(19893719383670784\) | \([]\) | \(2411136\) | \(1.9397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227154.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227154.u do not have complex multiplication.Modular form 227154.2.a.u
sage: E.q_eigenform(10)